He then earned a another demerit point in July, when he swore at Ben Stokes after dismissing him at Lord's during the first Test between South Africa and England.
Sutherland said he supported the sanctions and commended match referee Jeff Crowe for his handling of the "difficult situation".
Although the incident did not appear to be particularly serious, Rabada´s fellow fast bowler Vernon Philander effectively confirmed there was some concern among the South Africans.
"After the last game it was always going to be a bit sensitive", Philander said.
"Sometimes there is a fine line whether to celebrate too hard".
The move comes after pay-TV broadcaster Sky, which traditionally covers New Zealand's global cricket matches, reportedly opted out of entering a bid for rights to the series, meaning Cricket Network will be the only platform in the country showing the remaining games.
"[I've] no doubt they can deal with all that stuff, they did last week".
Kagiso Rabada gives Steve Smith a send-off
With Rabada only one infraction away from a suspension, the possibility of him missing the following two Test matches is yet to be ruled out. He would incur another ban if he picked up another demerit point. I don't know how their team manager can hear from where he's sitting but from where I was, which was right near the whole time, there was nothing we said that was inappropriate.
"The way "KG" was running in this afternoon was pretty wonderful to watch - the way he came across he wanted the ball‚ he wanted to bowl overs".
In Rabada's next over, the final one before tea, he had Shaun Marsh lbw for 24 to a delivery that curled in to the left-hander, and then had Mitchell Marsh caught behind off a thin inside edge behind as he tried to drive what should have been the penultimate ball of the session.
It was a day of contrasts. Both players were punished for the bust-up during the opening Test in Durban, with Warner fined 75 percent of his match fee and De Kock 25 percent.
Richards bettered his 81-run knock in the 2nd innings with a 212-ball 126 while Lee Ervine scored a 146-ball 102.
That changed, however, when Rabada gave Smith a piece of his mind before tea.
But the tourists' vice-captain's focus was not affected in Port Elizabeth, Warner playing a key role as Australia looked set for a dominant day before the rampant Rabada (5-96) limited them to 243, with the Proteas 204 runs behind on 39-1. Both Lyon (17) and Paine (36) were bowled by Ngidi, who finished with 3 for 51 and justified his inclusion ahead of the veteran Morne Morkel, who was dropped for this Test.